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Finding the Fourth Proportional to 370.68, 556.02 and 123.90

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Solution

The fourth proportional to 370.68, 556.02 and 123.90 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.68 : 556.02 = 123.90 : x
  2. Step 2: Convert to fraction form
    370.68/556.02 = 123.90/x
  3. Step 3: Cross multiply
    370.68x = 556.02 × 123.90
  4. Step 4: Simplify right side
    370.68x = 68,890.26
  5. Step 5: Solve for x
    x = 68,890.26/370.68
  6. Step 6: Final answer
    x = 185.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.